Question

The numbers on a football field indicate 10 yard increments. You walk around the perimeter of a football field between the pylons. You walk a distance of 306 2/3 yards. What is the area of the playing field?

Answer 1

5,333 square yards.

Explanation:

Football fields have standard 100 yards length, if you walk the perimeter of a football field you will walk the twice the length and twice the width. Therefore, the width of the field can be found as follows:

`306.667 = 2L +2W\\W = (306.667 - 2*100)/(2) \\W= 53.33`

The area of the playing field is the product of the length by the width

`A = L*W\\A= 100*53.33\\A=5333`

The area of the playing field is 5,333 square yards.